1113 = 3 x 7 x 53.
1113 is the number of integer partitions of 40 into distinct parts.
1113 is divisible by the product of its digits (1 x 1 x 1 x 3 = 3).
1113 is the concatenation of two consecutive primes (11 and 13).
The sum of the divisors of 1113 is a cube: 1 + 3 + 7 + 21 + 53 + 159 + 371 + 1113 = 1728 = 123.